{"id":299516,"date":"2023-12-27T20:39:52","date_gmt":"2023-12-27T13:39:52","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=299516"},"modified":"2023-12-27T20:39:52","modified_gmt":"2023-12-27T13:39:52","slug":"cach-tinh-dien-tich-tam-giac-vuong","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/cach-tinh-dien-tich-tam-giac-vuong\/","title":{"rendered":"C\u00f4ng th\u1ee9c c\u00e1ch t\u00ednh di\u1ec7n t\u00edch v\u00e0 \u0111\u01b0\u1eddng cao tam gi\u00e1c vu\u00f4ng"},"content":{"rendered":"<p><strong>C\u00e1ch t\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c vu\u00f4ng v\u00e0 \u0111\u01b0\u1eddng cao l\u00e0 c\u00f4ng c\u1ee5 to\u00e1n h\u1ecdc quan tr\u1ecdng. N\u00f3 gi\u00fap ch\u00fang ta x\u00e1c \u0111\u1ecbnh \u0111\u01b0\u1eddng cao v\u00e0 di\u1ec7n t\u00edch c\u1ee7a tam gi\u00e1c vu\u00f4ng ch\u00ednh x\u00e1c v\u00e0 hi\u1ec7u qu\u1ea3. Ngo\u00e0i ra, n\u00f3 c\u00f2n gi\u00fap ch\u00fang ta t\u00ednh to\u00e1n c\u00e1c \u0111\u1ea1i l\u01b0\u1ee3ng li\u00ean quan nh\u01b0 chu vi, \u0111\u01b0\u1eddng ch\u00e9o, g\u00f3c\u2026 D\u01b0\u1edbi \u0111\u00e2y l\u00e0 chi ti\u1ebft c\u00f4ng th\u1ee9c di\u1ec7n t\u00edch v\u00e0 \u0111\u01b0\u1eddng cao tam gi\u00e1c vu\u00f4ng.<\/strong><\/p>\n<h2>Tam gi\u00e1c vu\u00f4ng l\u00e0 g\u00ec?<\/h2>\n<p>Tr\u01b0\u1edbc khi \u0111i s\u00e2u v\u1ec1 c\u00e1ch t\u00ednh di\u1ec7n t\u00edch v\u00e0 \u0111\u01b0\u1eddng cao tam gi\u00e1c vu\u00f4ng, h\u00e3y t\u00ecm hi\u1ec3u tam gi\u00e1c vu\u00f4ng l\u00e0 g\u00ec. Tam gi\u00e1c vu\u00f4ng l\u00e0 m\u1ed9t h\u00ecnh h\u1ecdc c\u01a1 b\u1ea3n v\u00e0 ph\u1ed5 bi\u1ebfn trong to\u00e1n h\u1ecdc. N\u00f3 n\u1ed5i b\u1eadt v\u1edbi m\u1ed9t \u0111\u1eb7c \u0111i\u1ec3m ch\u00ednh: c\u00f3 m\u1ed9t g\u00f3c vu\u00f4ng c\u00f3 gi\u00e1 tr\u1ecb ch\u00ednh x\u00e1c l\u00e0 90 \u0111\u1ed9.\u00a0\u0110\u00e2y l\u00e0 m\u1ed9t trong nh\u1eefng h\u00ecnh h\u1ecdc c\u01a1 b\u1ea3n nh\u1ea5t. D\u00f9 v\u1eady c\u0169ng mang l\u1ea1i nhi\u1ec1u \u1ee9ng d\u1ee5ng trong to\u00e1n h\u1ecdc v\u00e0 k\u1ef9 thu\u1eadt.\u00a0C\u00e1c t\u00ednh ch\u1ea5t n\u1ed5i b\u1eadt c\u1ee7a tam gi\u00e1c vu\u00f4ng bao g\u1ed3m:<\/p>\n<ul>\n<li>Hai g\u00f3c nh\u1ecdn c\u00f2n l\u1ea1i t\u1ed5ng c\u1ed9ng l\u00e0 90 \u0111\u1ed9, t\u1ee9c l\u00e0 ch\u00fang ph\u1ee5 nhau.<\/li>\n<li>B\u00ecnh ph\u01b0\u01a1ng c\u1ee7a c\u1ea1nh huy\u1ec1n (c\u1ea1nh n\u1eb1m \u0111\u1ed1i di\u1ec7n v\u1edbi g\u00f3c 90 \u0111\u1ed9) b\u1eb1ng t\u1ed5ng c\u1ee7a b\u00ecnh ph\u01b0\u01a1ng hai c\u1ea1nh c\u00f2n l\u1ea1i. \u0110\u00e2y ch\u00ednh l\u00e0 \u0110\u1ecbnh l\u00fd Pythagoras, m\u1ed9t trong nh\u1eefng \u0111\u1ecbnh l\u00fd quan tr\u1ecdng nh\u1ea5t c\u1ee7a to\u00e1n h\u1ecdc.<\/li>\n<li>\u0110\u01b0\u1eddng trung tuy\u1ebfn c\u1ee7a c\u1ea1nh huy\u1ec1n b\u1eb1ng m\u1ed9t n\u1eeda chi\u1ec1u d\u00e0i c\u1ea1nh huy\u1ec1n. \u0110\u00e2y l\u00e0 m\u1ed9t t\u00ednh ch\u1ea5t \u0111\u1ed9c \u0111\u00e1o ch\u1ec9 c\u00f3 \u1edf tam gi\u00e1c vu\u00f4ng.<\/li>\n<\/ul>\n<figure id=\"attachment_299552\" aria-describedby=\"caption-attachment-299552\" style=\"width: 800px\" class=\"wp-caption aligncenter\"><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-1.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-1-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-1-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img fetchpriority=\"high\" decoding=\"async\" class=\"wp-image-299552 size-full webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-1.jpg\" alt=\"ach-tinh-dien-tich-tam-giac-vuong-1\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-1-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><figcaption id=\"caption-attachment-299552\" class=\"wp-caption-text\">Tam gi\u00e1c vu\u00f4ng c\u00f3 m\u1ed9t g\u00f3c vu\u00f4ng c\u00f3 gi\u00e1 tr\u1ecb ch\u00ednh x\u00e1c l\u00e0 90 \u0111\u1ed9<\/figcaption><\/figure>\n<p>Vi\u1ec7c n\u1eafm v\u1eefng c\u00e1c t\u00ednh ch\u1ea5t v\u00e0 c\u00e1ch t\u00ednh tam gi\u00e1c vu\u00f4ng gi\u00fap ch\u00fang ta ph\u00e1t tri\u1ec3n t\u01b0 duy logic, k\u1ef9 n\u0103ng gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 v\u00e0 kh\u1ea3 n\u0103ng s\u00e1ng t\u1ea1o trong vi\u1ec7c t\u00ecm ki\u1ebfm gi\u1ea3i ph\u00e1p cho c\u00e1c b\u00e0i to\u00e1n to\u00e1n h\u1ecdc. V\u00ec v\u1eady, tam gi\u00e1c vu\u00f4ng kh\u00f4ng ch\u1ec9 l\u00e0 m\u1ed9t c\u00f4ng c\u1ee5 to\u00e1n h\u1ecdc. N\u00f3 c\u00f2n l\u00e0 ph\u01b0\u01a1ng ti\u1ec7n gi\u00fap ch\u00fang ta ph\u00e1t tri\u1ec3n v\u00e0 n\u00e2ng cao k\u1ef9 n\u0103ng to\u00e1n h\u1ecdc.<\/p>\n<h2>C\u00e1ch t\u00ednh \u0111\u01b0\u1eddng cao trong tam gi\u00e1c vu\u00f4ng v\u00e0 di\u1ec7n t\u00edch<\/h2>\n<p>Tam gi\u00e1c vu\u00f4ng l\u00e0 h\u00ecnh h\u1ecdc kh\u00e1 \u0111\u1eb7c tr\u01b0ng b\u1edfi m\u1ed9t g\u00f3c vu\u00f4ng. V\u1edbi c\u1ea5u tr\u00fac \u0111\u1eb7c tr\u01b0ng n\u00e0y, ch\u00fang ta c\u00f3 c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c vu\u00f4ng v\u00e0 \u0111\u01b0\u1eddng cao c\u1ee7a n\u00f3.\u00a0Trong \u0111\u00f3:<\/p>\n<ul>\n<li>a,b,c \u0111\u1ea1i di\u1ec7n cho c\u00e1c c\u1ea1nh c\u1ee7a tam gi\u00e1c vu\u00f4ng<\/li>\n<li>b\u2032 l\u00e0 chi\u1ec1u d\u00e0i c\u1ee7a \u0111o\u1ea1n th\u1eb3ng vu\u00f4ng g\u00f3c t\u1eeb c\u1ea1nh b \u0111\u1ebfn c\u1ea1nh huy\u1ec1n<\/li>\n<li>c\u2032 l\u00e0 chi\u1ec1u d\u00e0i c\u1ee7a \u0111o\u1ea1n th\u1eb3ng vu\u00f4ng g\u00f3c t\u1eeb c\u1ea1nh c \u0111\u1ebfn c\u1ea1nh huy\u1ec1n<\/li>\n<li><span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">h<\/span><\/span><\/span><\/span><\/span> l\u00e0 \u0111\u01b0\u1eddng cao t\u1eeb \u0111\u1ec9nh g\u00f3c vu\u00f4ng A xu\u1ed1ng c\u1ea1nh huy\u1ec1n c\u1ee7a tam gi\u00e1c vu\u00f4ng<\/li>\n<\/ul>\n<figure id=\"attachment_299950\" aria-describedby=\"caption-attachment-299950\" style=\"width: 800px\" class=\"wp-caption aligncenter\"><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-9.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-9-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-9-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img decoding=\"async\" class=\"wp-image-299950 size-full webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-9.jpg\" alt=\"cach-tinh-dien-tich-tam-giac-vuong-9\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-9.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-9-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-9-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><figcaption id=\"caption-attachment-299950\" class=\"wp-caption-text\">Di\u1ec7n t\u00edch v\u00e0 \u0111\u01b0\u1eddng cao tam gi\u00e1c vu\u00f4ng<\/figcaption><\/figure>\n<p>\u0110\u1ec3 t\u00ednh di\u1ec7n t\u00edch, ch\u00fang ta s\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c c\u01a1 b\u1ea3n.<\/p>\n<p><strong><em>S = 1\/2 x a x b.\u00a0<\/em><\/strong><\/p>\n<p>\u0110\u01b0\u1eddng cao ch\u00ednh l\u00e0 m\u1ed9t c\u1ea1nh c\u1ee7a tam gi\u00e1c vu\u00f4ng. N\u00f3 k\u1ec1 v\u1edbi g\u00f3c vu\u00f4ng v\u00e0 chia tam gi\u00e1c th\u00e0nh hai tam gi\u00e1c nh\u1ecf c\u00f9ng vu\u00f4ng g\u00f3c v\u1edbi nhau. Cho c\u1ea1nh g\u00f3c vu\u00f4ng l\u00e0 a v\u00e0 c\u1ea1nh k\u1ec1 c\u1ea1nh g\u00f3c vu\u00f4ng (\u0111\u01b0\u1eddng cao) l\u00e0 b. \u0110\u01b0\u1eddng cao c\u00f3 th\u1ec3 t\u00ednh b\u1eb1ng c\u00f4ng th\u1ee9c:<\/p>\n<p><strong>1. a2 = b2 + c2<\/strong><\/p>\n<p><strong>2. b2 = a.b\u2032 v\u00e0 c2 = a.c\u2032<\/strong><\/p>\n<p><strong>3. a.h = b.c<\/strong><\/p>\n<p><strong>4. h2 = b\u2032.c&#8217;<\/strong><\/p>\n<p><strong>5. 1\/h2 = 1\/b2 + 1\/c2<\/strong><\/p>\n<p><strong>6. h = (S x 2)\/c<\/strong><\/p>\n<h2>V\u00ed d\u1ee5 li\u00ean quan \u0111\u1ebfn c\u00e1ch t\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c vu\u00f4ng v\u00e0 \u0111\u01b0\u1eddng cao<\/h2>\n<p>X\u00e9t tam gi\u00e1c vu\u00f4ng ABC v\u1edbi g\u00f3c vu\u00f4ng t\u1ea1i A v\u00e0 \u0111\u01b0\u1eddng cao AH. AB \u0111\u01b0\u1ee3c cho l\u00e0 16 cm v\u00e0 AC l\u00e0 20 cm. H\u00e3y t\u00ednh di\u1ec7n t\u00edch v\u00e0 \u0111\u01b0\u1eddng cao.<\/p>\n<figure id=\"attachment_299954\" aria-describedby=\"caption-attachment-299954\" style=\"width: 800px\" class=\"wp-caption aligncenter\"><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-10.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-10-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-10-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img decoding=\"async\" class=\"wp-image-299954 size-full webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-10.jpg\" alt=\"cach-tinh-dien-tich-tam-giac-vuong-10\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-10.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-10-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-10-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><figcaption id=\"caption-attachment-299954\" class=\"wp-caption-text\">V\u00ed d\u1ee5 v\u1ec1 di\u1ec7n t\u00edch v\u00e0 \u0111\u01b0\u1eddng cao tam gi\u00e1c vu\u00f4ng<\/figcaption><\/figure>\n<p>\u0110\u1ec3 t\u00ednh di\u1ec7n t\u00edch c\u1ee7a tam gi\u00e1c n\u00e0y, b\u1ea1n s\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c:<\/p>\n<p>S = 1\/2 x a x b = 1\/2 x AB x AC = 1\/2 x 16 x 20 = 260 cm2.<\/p>\n<p>T\u01b0\u01a1ng t\u1ef1, \u0111\u1ec3 t\u00ednh \u0111\u01b0\u1eddng cao AH, ta c\u1ea7n t\u00ednh c\u1ea1nh huy\u1ec1n BC \u0111\u1ea7u ti\u00ean. \u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c ta c\u00f3:<\/p>\n<p>BC^2 = AB^2 + AC^2 &#8211;&gt;BC = \u221a(AB\u00b2 + AC\u00b2) = \u221a(16^2 + 25^2) = <span id=\"MJXc-Node-361\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">4<\/span><\/span><span id=\"MJXc-Node-362\" class=\"mjx-msqrt\"><span class=\"mjx-box\"><span class=\"mjx-surd\"><span class=\"mjx-char MJXc-TeX-main-R\">\u221a<\/span><\/span><span id=\"MJXc-Node-363\" class=\"mjx-mrow\"><span id=\"MJXc-Node-364\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">41.\u00a0<\/span><\/span><\/span><\/span><\/span><\/p>\n<p>AH = (S x 2)\/BC = (260 x 2)\/<span id=\"MJXc-Node-361\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">4<\/span><\/span><span id=\"MJXc-Node-362\" class=\"mjx-msqrt\"><span class=\"mjx-box\"><span class=\"mjx-surd\"><span class=\"mjx-char MJXc-TeX-main-R\">\u221a<\/span><\/span><span id=\"MJXc-Node-363\" class=\"mjx-mrow\"><span id=\"MJXc-Node-364\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">41 = 130\/<span class=\"mjx-surd\">\u221a<\/span>41.\u00a0<\/span><\/span><\/span><\/span><\/span><\/p>\n<p>B\u00ean c\u1ea1nh c\u00f4ng th\u1ee9c n\u00e0y, ch\u00fang ta c\u0169ng c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng h\u00e0ng lo\u1ea1t c\u00e1c c\u00f4ng th\u1ee9c ph\u00eda tr\u00ean. Ch\u1eb3ng h\u1ea1n nh\u01b0 a.h = b.c, t\u01b0\u01a1ng \u1ee9ng AH . BC = AB . AC &#8211;&gt; AH = (AB . AC) \/ BC = (16 x 20)\/<span id=\"MJXc-Node-361\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">4<\/span><\/span><span id=\"MJXc-Node-362\" class=\"mjx-msqrt\"><span class=\"mjx-box\"><span class=\"mjx-surd\"><span class=\"mjx-char MJXc-TeX-main-R\">\u221a<\/span><\/span><span id=\"MJXc-Node-363\" class=\"mjx-mrow\"><span id=\"MJXc-Node-364\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">41 = 130\/<span class=\"mjx-surd\">\u221a<\/span>41.<\/span><\/span><\/span><\/span><\/span><\/p>\n<p>C\u00f3 th\u1ec3 n\u00f3i nh\u1eefng c\u00f4ng th\u1ee9c li\u00ean quan \u0111\u1ebfn di\u1ec7n t\u00edch v\u00e0 \u0111\u01b0\u1eddng cao tam gi\u00e1c vu\u00f4ng kh\u00e1 \u0111a d\u1ea1ng. \u0110i\u1ec1u quan tr\u1ecdng l\u00e0 b\u1ea1n h\u00e3y d\u1ef1a v\u00e0o \u0111\u1ec1 to\u00e1n \u0111\u01b0a ra v\u00e0 l\u1ef1a ch\u1ecdn c\u00f4ng th\u1ee9c ph\u00f9 h\u1ee3p \u0111\u1ec3 ch\u00ednh x\u00e1c v\u00e0 ti\u1ebft ki\u1ec7m th\u1eddi gian.<\/p>\n<h2>C\u00e1c c\u00f4ng th\u1ee9c kh\u00e1c li\u00ean quan \u0111\u1ebfn tam gi\u00e1c vu\u00f4ng<\/h2>\n<p>Ngo\u00e0i c\u00e1ch t\u00ednh di\u1ec7n t\u00edch v\u00e0 \u0111\u01b0\u1eddng cap tam gi\u00e1c vu\u00f4ng, c\u00f2n c\u00f3 nhi\u1ec1u c\u00f4ng th\u1ee9c kh\u00e1c v\u1ec1 tam gi\u00e1c n\u00e0y. B\u1ea1n c\u00f3 th\u1ec3 tham kh\u1ea3o c\u00e1c c\u00f4ng th\u1ee9c \u0111\u00f3 d\u01b0\u1edbi \u0111\u00e2y.<\/p>\n<h3><strong>\u0110\u1ecbnh l\u00fd Pythagoras<\/strong><\/h3>\n<p>Trong m\u1ed9t tam gi\u00e1c vu\u00f4ng, b\u00ecnh ph\u01b0\u01a1ng c\u1ee7a c\u1ea1nh huy\u1ec1n (c\u1ea1nh \u0111\u1ed1i di\u1ec7n g\u00f3c vu\u00f4ng) b\u1eb1ng t\u1ed5ng c\u1ee7a b\u00ecnh ph\u01b0\u01a1ng c\u1ee7a hai c\u1ea1nh g\u00f3c vu\u00f4ng. \u00c1p d\u1ee5ng \u0111\u1ecbnh l\u00fd Pythagoras, ta c\u00f3: <span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">c<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2 <\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">= <\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2 <\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">+ <\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">b<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2. <\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>Nh\u1edd \u0111\u00f3, c\u00e1c c\u1ea1nh c\u00f3 th\u1ec3 suy ra b\u1eb1ng c\u00f4ng th\u1ee9c.<\/p>\n<ul>\n<li>c = \u221a(a\u00b2 + b\u00b2)<\/li>\n<li>a = \u221a(c\u00b2 &#8211; b\u00b2)<\/li>\n<li>b = \u221a(c\u00b2 &#8211; a\u00b2)<\/li>\n<\/ul>\n<figure id=\"attachment_299561\" aria-describedby=\"caption-attachment-299561\" style=\"width: 800px\" class=\"wp-caption aligncenter\"><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-3.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-3-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-3-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-299561 size-full webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-3.jpg\" alt=\"cach-tinh-dien-tich-tam-giac-vuong-3\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-3-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><figcaption id=\"caption-attachment-299561\" class=\"wp-caption-text\">\u0110\u1ecbnh l\u00fd Pythagoras<\/figcaption><\/figure>\n<h3><strong>C\u00f4ng th\u1ee9c Sin, Cos, v\u00e0 Tan<\/strong><\/h3>\n<p>Trong m\u1ed9t tam gi\u00e1c vu\u00f4ng, Sin, Cos, v\u00e0 Tan l\u00e0 t\u1ef7 l\u1ec7 gi\u1eefa c\u00e1c c\u1ea1nh v\u1edbi nhau. H\u00e0m s\u1ed1 l\u01b0\u1ee3ng gi\u00e1c n\u00e0y \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 t\u00ednh to\u00e1n c\u00e1c g\u00f3c, \u0111\u1ed9 d\u00e0i c\u1ea1nh v\u00e0 c\u00e1c \u0111\u1ea1i l\u01b0\u1ee3ng kh\u00e1c trong tam gi\u00e1c vu\u00f4ng<\/p>\n<ul>\n<li>Sin c\u1ee7a m\u1ed9t g\u00f3c (\u0111\u01b0\u1ee3c k\u00fd hi\u1ec7u l\u00e0 sin) l\u00e0 t\u1ef7 l\u1ec7 gi\u1eefa chi\u1ec1u d\u00e0i c\u1ea1nh \u0111\u1ed1i di\u1ec7n v\u1edbi g\u00f3c \u0111\u00f3 v\u00e0 c\u1ea1nh huy\u1ec1n c\u1ee7a tam gi\u00e1c vu\u00f4ng.<\/li>\n<li>Cos c\u1ee7a m\u1ed9t g\u00f3c (\u0111\u01b0\u1ee3c k\u00fd hi\u1ec7u l\u00e0 cos) l\u00e0 t\u1ef7 l\u1ec7 gi\u1eefa chi\u1ec1u d\u00e0i c\u1ea1nh k\u1ec1 v\u1edbi g\u00f3c \u0111\u00f3 v\u00e0 c\u1ea1nh huy\u1ec1n c\u1ee7a tam gi\u00e1c vu\u00f4ng.<\/li>\n<li>Tan c\u1ee7a m\u1ed9t g\u00f3c (\u0111\u01b0\u1ee3c k\u00fd hi\u1ec7u l\u00e0 tan) l\u00e0 t\u1ef7 l\u1ec7 gi\u1eefa chi\u1ec1u d\u00e0i c\u1ea1nh \u0111\u1ed1i di\u1ec7n v\u1edbi g\u00f3c \u0111\u00f3 v\u00e0 c\u1ea1nh k\u1ec1 v\u1edbi g\u00f3c \u0111\u00f3 c\u1ee7a tam gi\u00e1c vu\u00f4ng.<\/li>\n<\/ul>\n<p>\u00c1p d\u1ee5ng theo \u0111\u00f3, ch\u00fang ta c\u00f3 m\u1ed9t s\u1ed1 c\u00f4ng th\u1ee9c d\u1ef1a tr\u00ean Sin, Cos, v\u00e0 Tan trong tam gi\u00e1c vu\u00f4ng.<\/p>\n<ul>\n<li>sin(g\u00f3c) = a \/ c = 1 \/ cos(g\u00f3c)<\/li>\n<li>cos(g\u00f3c) = b \/ c = 1 \/ sin(g\u00f3c)<\/li>\n<li>tan(g\u00f3c) = a \/ b<\/li>\n<li>cot(g\u00f3c) = 1 \/ tan(g\u00f3c)<\/li>\n<li>sin \u03b1 = cos \u03b2<\/li>\n<li>cos \u03b1 = sin \u03b2<\/li>\n<li>tan \u03b1 = cot \u03b2<\/li>\n<li>cot \u03b1 = tan \u03b2<\/li>\n<\/ul>\n<figure id=\"attachment_299552\" aria-describedby=\"caption-attachment-299552\" style=\"width: 800px\" class=\"wp-caption aligncenter\"><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-1.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-1-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-1-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-299552 size-full webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-1.jpg\" alt=\"cach-tinh-dien-tich-tam-giac-vuong-1\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-1-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><figcaption id=\"caption-attachment-299552\" class=\"wp-caption-text\">Tam gi\u00e1c vu\u00f4ng c\u00f3 m\u1ed9t g\u00f3c vu\u00f4ng c\u00f3 gi\u00e1 tr\u1ecb ch\u00ednh x\u00e1c l\u00e0 90 \u0111\u1ed9<\/figcaption><\/figure>\n<p>Nh\u1eefng c\u00f4ng th\u1ee9c tr\u00ean cung c\u1ea5p m\u1ed9t c\u01a1 s\u1edf to\u00e1n h\u1ecdc v\u1eefng ch\u1eafc \u0111\u1ec3 nghi\u00ean c\u1ee9u v\u00e0 gi\u1ea3i quy\u1ebft c\u00e1c v\u1ea5n \u0111\u1ec1 li\u00ean quan \u0111\u1ebfn tam gi\u00e1c vu\u00f4ng trong nhi\u1ec1u ng\u1eef c\u1ea3nh v\u00e0 l\u0129nh v\u1ef1c.<\/p>\n<h2>\u1ee8ng d\u1ee5ng c\u1ee7a tam gi\u00e1c vu\u00f4ng trong th\u1ef1c t\u1ebf<\/h2>\n<p>Nh\u01b0 \u0111\u00e3 n\u00f3i tr\u00ean, tam gi\u00e1c vu\u00f4ng l\u00e0 kh\u00e1i ni\u1ec7m c\u01a1 b\u1ea3n. D\u00f9 v\u1eady, n\u00f3 c\u00f3 \u1ea3nh h\u01b0\u1edfng s\u00e2u r\u1ed9ng \u0111\u1ebfn nhi\u1ec1u kh\u00eda c\u1ea1nh. D\u01b0\u1edbi \u0111\u00e2y l\u00e0 nh\u1eefng \u1ee9ng d\u1ee5ng c\u1ee7a tam gi\u00e1c vu\u00f4ng c\u1ee5 th\u1ec3.<\/p>\n<h3>C\u00e1ch t\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c vu\u00f4ng trong x\u00e2y d\u1ef1ng v\u00e0 ki\u1ebfn tr\u00fac<\/h3>\n<p>Tam gi\u00e1c vu\u00f4ng c\u00f3 \u1ee9ng d\u1ee5ng quan tr\u1ecdng trong nhi\u1ec1u l\u0129nh v\u1ef1c th\u1ef1c t\u1ebf. M\u1ed9t trong nh\u1eefng \u1ee9ng d\u1ee5ng ph\u1ed5 bi\u1ebfn nh\u1ea5t c\u1ee7a tam gi\u00e1c vu\u00f4ng l\u00e0 trong ki\u1ebfn tr\u00fac v\u00e0 x\u00e2y d\u1ef1ng. Khi k\u1ef9 s\u01b0 ho\u1eb7c nh\u00e0 thi\u1ebft k\u1ebf c\u1ea7n \u0111o \u0111\u1ea1c di\u1ec7n t\u00edch, \u1ee9ng d\u1ee5ng tam gi\u00e1c vu\u00f4ng r\u1ea5t quan tr\u1ecdng. H\u1ecd c\u00f3 th\u1ec3 d\u1ec5 d\u00e0ng v\u00e0 ch\u00ednh x\u00e1c x\u00e1c \u0111\u1ecbnh di\u1ec7n t\u00edch c\u1ea7n thi\u1ebft. B\u1ea1n c\u0169ng c\u00f3 th\u1ec3 th\u1ea5y s\u1ef1 xu\u1ea5t hi\u1ec7n c\u1ee7a tam gi\u00e1c vu\u00f4ng trong vi\u1ec7c x\u00e2y d\u1ef1ng c\u00e1c c\u1ea5u tr\u00fac. Ch\u1eb3ng h\u1ea1n nh\u01b0 nh\u01b0 c\u1eeda s\u1ed5, c\u00e1nh c\u1eeda hay c\u00e1c g\u00f3c m\u1edf c\u1ee7a m\u1ed9t c\u0103n ph\u00f2ng.<\/p>\n<figure id=\"attachment_299563\" aria-describedby=\"caption-attachment-299563\" style=\"width: 800px\" class=\"wp-caption aligncenter\"><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-5-1.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-5-1-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-5-1-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-299563 size-full webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-5-1.jpg\" alt=\"cach-tinh-dien-tich-tam-giac-vuong-5\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-5-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-5-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-5-1-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><figcaption id=\"caption-attachment-299563\" class=\"wp-caption-text\">Tam gi\u00e1c vu\u00f4ng c\u00f3 \u1ee9ng d\u1ee5ng trong x\u00e2y d\u1ef1ng v\u00e0 ki\u1ebfn tr\u00fac<\/figcaption><\/figure>\n<p>\u00c1p d\u1ee5ng ph\u01b0\u01a1ng ph\u00e1p t\u00ednh tam gi\u00e1c vu\u00f4ng c\u0169ng gi\u00fap bi\u1ebft \u0111\u01b0\u1ee3c di\u1ec7n t\u00edch th\u1ef1c t\u1ebf m\u00e0 m\u1ed9t khu v\u1ef1c chi\u1ebfm d\u1ee5ng. N\u00f3 r\u1ea5t h\u1eefu \u00edch trong vi\u1ec7c l\u00ean k\u1ebf ho\u1ea1ch v\u00e0 thi\u1ebft k\u1ebf kh\u00f4ng gian. Vi\u1ec7c s\u1eafp x\u1ebfp n\u1ed9i th\u1ea5t, thi\u1ebft k\u1ebf h\u01b0\u1edbng d\u1eabn l\u1ed1i \u0111i \u0111\u1ec1u th\u01b0\u1eddng d\u00f9ng tam gi\u00e1c vu\u00f4ng l\u00e0m c\u01a1 s\u1edf.<\/p>\n<h3>C\u00e1ch t\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c vu\u00f4ng trong k\u1ef9 thu\u1eadt<\/h3>\n<p>Tam gi\u00e1c vu\u00f4ng c\u00f3 \u1ee9ng d\u1ee5ng r\u1ed9ng r\u00e3i trong l\u0129nh v\u1ef1c k\u1ef9 thu\u1eadt. N\u00f3 c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 gi\u1ea3i quy\u1ebft nhi\u1ec1u v\u1ea5n \u0111\u1ec1 th\u1ef1c t\u1ebf trong k\u1ef9 thu\u1eadt.<\/p>\n<ul>\n<li>Ch\u1ebf t\u1ea1o c\u00e1c th\u00e0nh ph\u1ea7n m\u00e1y m\u00f3c, b\u1ed9 ph\u1eadn c\u1ea7n \u0111\u1ed9 ch\u00ednh x\u00e1c cao, ho\u1eb7c c\u00e1c thi\u1ebft b\u1ecb \u0111o l\u01b0\u1eddng v\u00e0 ki\u1ec3m tra.<\/li>\n<li>\u0110\u1ecbnh v\u1ecb v\u00e0 \u0111o \u0111\u1ea1c \u0111\u1ed9 cao, \u0111\u1ed9 s\u00e2u&#8230; c\u1ee7a m\u1ed9t khu v\u1ef1c ho\u1eb7c \u0111\u1ecba h\u00ecnh.<\/li>\n<li>X\u00e1c \u0111\u1ecbnh c\u00e1c m\u1ed1i li\u00ean h\u1ec7 gi\u1eefa c\u00e1c th\u00e0nh ph\u1ea7n m\u1ea1ch, g\u00f3c h\u01b0\u1edbng v\u00e0 h\u01b0\u1edbng d\u1eabn d\u00e2y d\u1eabn, ho\u1eb7c trong vi\u1ec7c t\u00ednh to\u00e1n c\u00e1c th\u00f4ng s\u1ed1 k\u1ef9 thu\u1eadt cho c\u00e1c m\u1ea1ch \u0111i\u1ec7n.<\/li>\n<li>\u0110o l\u01b0\u1eddng, thi\u1ebft k\u1ebf v\u00e0 s\u1ea3n xu\u1ea5t c\u00e1c c\u00f4ng c\u1ee5, thi\u1ebft b\u1ecb \u0111o l\u01b0\u1eddng, v\u00e0 m\u00e1y m\u00f3c \u0111o l\u01b0\u1eddng ch\u00ednh x\u00e1c.<\/li>\n<\/ul>\n<figure id=\"attachment_299557\" aria-describedby=\"caption-attachment-299557\" style=\"width: 800px\" class=\"wp-caption aligncenter\"><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-6.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-6-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-6-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-299557 size-full webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-6.jpg\" alt=\"cach-tinh-dien-tich-tam-giac-vuong-6\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-6.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-6-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-6-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><figcaption id=\"caption-attachment-299557\" class=\"wp-caption-text\">Tam gi\u00e1c vu\u00f4ng c\u00f3 \u1ee9ng d\u1ee5ng r\u1ed9ng r\u00e3i trong l\u0129nh v\u1ef1c k\u1ef9 thu\u1eadt<\/figcaption><\/figure>\n<h3>C\u00e1ch t\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c vu\u00f4ng trong t\u1ef1 \u0111\u1ed9ng h\u00f3a<\/h3>\n<p>Nguy\u00ean t\u1eafc tam gi\u00e1c vu\u00f4ng \u0111\u00e3 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng tri\u1ec7t \u0111\u1ec3 trong t\u1ef1 \u0111\u1ed9ng h\u00f3a. Ng\u01b0\u1eddi ta \u0111\u00e3 h\u00ecnh th\u00e0nh c\u00e1c gi\u1ea3i ph\u00e1p v\u00e0 \u1ee9ng d\u1ee5ng trong ng\u00e0nh n\u00e0y t\u1eeb n\u00f3. V\u00ed d\u1ee5, ch\u00fang gi\u00fap x\u00e1c \u0111\u1ecbnh h\u01b0\u1edbng v\u00e0 v\u1ecb tr\u00ed c\u1ee5 th\u1ec3 c\u1ee7a robot trong kh\u00f4ng gian. B\u1eb1ng c\u00e1ch \u00e1p d\u1ee5ng nguy\u00ean l\u00fd n\u00e0y, c\u00e1c chuy\u00ean gia c\u00f3 th\u1ec3 t\u1ed1i \u01b0u h\u00f3a vi\u1ec7c \u0111i\u1ec1u khi\u1ec3n v\u00e0 \u0111\u1ecbnh h\u01b0\u1edbng robot m\u1ed9t c\u00e1ch ch\u00ednh x\u00e1c v\u00e0 hi\u1ec7u qu\u1ea3.<\/p>\n<figure id=\"attachment_299558\" aria-describedby=\"caption-attachment-299558\" style=\"width: 800px\" class=\"wp-caption aligncenter\"><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-7.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-7-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-7-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-299558 size-full webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-7.jpg\" alt=\"cach-tinh-dien-tich-tam-giac-vuong-7\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-7.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-7-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-7-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><figcaption id=\"caption-attachment-299558\" class=\"wp-caption-text\">Vi\u1ec7c x\u00e1c \u0111\u1ecbnh c\u1ea5u tr\u00fac v\u00e0 b\u1ed1 tr\u00ed c\u00e1c th\u00e0nh ph\u1ea7n trong thi\u1ebft k\u1ebf robot c\u0169ng d\u1ef1a tr\u00ean c\u00e1c t\u00ednh ch\u1ea5t c\u1ee7a tam gi\u00e1c vu\u00f4ng<\/figcaption><\/figure>\n<p>Ngo\u00e0i ra, vi\u1ec7c x\u00e1c \u0111\u1ecbnh c\u1ea5u tr\u00fac v\u00e0 b\u1ed1 tr\u00ed c\u00e1c th\u00e0nh ph\u1ea7n trong thi\u1ebft k\u1ebf robot c\u0169ng d\u1ef1a tr\u00ean c\u00e1c t\u00ednh ch\u1ea5t c\u1ee7a tam gi\u00e1c vu\u00f4ng. Khi thi\u1ebft k\u1ebf c\u00e1c b\u1ed9 ph\u1eadn c\u1ee7a robot, ng\u01b0\u1eddi ta c\u1ea7n t\u1ed1i \u01b0u h\u00f3a hi\u1ec7u su\u1ea5t v\u00e0 ch\u1ee9c n\u0103ng c\u1ee7a ch\u00fang. Vi\u1ec7c ch\u1ecdn l\u1ef1a g\u00f3c v\u00e0 kho\u1ea3ng c\u00e1ch d\u1ef1a tr\u00ean nguy\u00ean l\u00fd tam gi\u00e1c vu\u00f4ng l\u00e0 \u0111i\u1ec1u c\u01a1 b\u1ea3n. N\u00f3 \u0111\u1ea3m b\u1ea3o robot ho\u1ea1t \u0111\u1ed9ng m\u1ed9t c\u00e1ch hi\u1ec7u qu\u1ea3 m\u00e0 c\u00f2n ti\u1ebft ki\u1ec7m n\u0103ng l\u01b0\u1ee3ng v\u00e0 t\u00e0i nguy\u00ean.<\/p>\n<h3>C\u00e1ch t\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c vu\u00f4ng trong v\u1eadt l\u00fd v\u00e0 c\u01a1 h\u1ecdc<\/h3>\n<p>Tam gi\u00e1c vu\u00f4ng v\u00e0 l\u01b0\u1ee3ng gi\u00e1c c\u00f2n \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng trong vi\u1ec7c nghi\u00ean c\u1ee9u v\u1ec1 c\u00e1c hi\u1ec7n t\u01b0\u1ee3ng t\u1ef1 nhi\u00ean v\u00e0 c\u01a1 h\u1ecdc chuy\u1ec3n \u0111\u1ed9ng. V\u00ed d\u1ee5 nh\u01b0 vi\u1ec7c di chuy\u1ec3n c\u1ee7a m\u1ed9t v\u1eadt tr\u00ean m\u1ed9t m\u1eb7t ph\u1eb3ng, l\u01b0\u1ee3ng gi\u00e1c m\u00f4 t\u1ea3 v\u00e0 d\u1ef1 \u0111o\u00e1n c\u00e1c qu\u1ef9 \u0111\u1ea1o, t\u1ed1c \u0111\u1ed9 v\u00e0 gia t\u1ed1c c\u1ee7a v\u1eadt. C\u1ee5 th\u1ec3, v\u1edbi vi\u1ec7c s\u1eed d\u1ee5ng c\u00e1c h\u00e0m l\u01b0\u1ee3ng gi\u00e1c nh\u01b0 sin, cos, v\u00e0 tan, ng\u01b0\u1eddi ta c\u00f3 th\u1ec3 m\u00f4 ph\u1ecfng v\u00e0 t\u00ednh to\u00e1n c\u00e1c g\u00f3c, kho\u1ea3ng c\u00e1ch v\u00e0 t\u1ed1c \u0111\u1ed9 c\u1ee7a v\u1eadt trong c\u00e1c \u0111i\u1ec1u ki\u1ec7n v\u00e0 m\u00f4i tr\u01b0\u1eddng kh\u00e1c nhau.<\/p>\n<p>Ngo\u00e0i ra, trong l\u0129nh v\u1ef1c v\u1eadt l\u00fd, tam gi\u00e1c vu\u00f4ng \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng \u0111\u1ec3 gi\u1ea3i quy\u1ebft c\u00e1c v\u1ea5n \u0111\u1ec1 li\u00ean quan \u0111\u1ebfn c\u01a1 h\u1ecdc v\u00e0 \u0111\u1ed9ng l\u1ef1c h\u1ecdc. C\u1ee5 th\u1ec3, ng\u01b0\u1eddi ta th\u01b0\u1eddng d\u1ef1a v\u00e0o c\u00e1c ph\u01b0\u01a1ng tr\u00ecnh v\u00e0 c\u00f4ng th\u1ee9c l\u01b0\u1ee3ng gi\u00e1c \u0111\u1ec3 ph\u00e2n t\u00edch v\u00e0 hi\u1ec3u r\u00f5 h\u01a1n v\u1ec1 c\u00e1c t\u01b0\u01a1ng t\u00e1c v\u00e0 hi\u1ec7n t\u01b0\u1ee3ng v\u1eadt l\u00fd.<\/p>\n<figure id=\"attachment_299559\" aria-describedby=\"caption-attachment-299559\" style=\"width: 800px\" class=\"wp-caption aligncenter\"><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-8.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-8-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-8-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-299559 size-full webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-8.jpg\" alt=\"cach-tinh-dien-tich-tam-giac-vuong-8\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-8.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-8-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-vuong-8-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><figcaption id=\"caption-attachment-299559\" class=\"wp-caption-text\">Ng\u01b0\u1eddi ta \u00e1p d\u1ee5ng tam gi\u00e1c vu\u00f4ng \u0111\u1ec3 gi\u1ea3i quy\u1ebft c\u00e1c v\u1ea5n \u0111\u1ec1 li\u00ean quan \u0111\u1ebfn c\u01a1 h\u1ecdc v\u00e0 \u0111\u1ed9ng l\u1ef1c h\u1ecdc<\/figcaption><\/figure>\n<h2>K\u1ebft lu\u1eadn<\/h2>\n<p>T\u00f3m l\u1ea1i, tam gi\u00e1c vu\u00f4ng \u0111\u00f3ng m\u1ed9t vai tr\u00f2 quan tr\u1ecdng trong m\u1ecdi kh\u00eda c\u1ea1nh cu\u1ed9c s\u1ed1ng. S\u1ef1 hi\u1ec3u bi\u1ebft v\u00e0 \u00e1p d\u1ee5ng c\u00e1ch t\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c vu\u00f4ng gi\u00fap n\u00e2ng cao hi\u1ec7u qu\u1ea3 c\u1ee7a nhi\u1ec1u d\u1ef1 \u00e1n \u0111a l\u0129nh v\u1ef1c. H\u01a1n n\u1eefa, vi\u1ec7c n\u1eafm v\u1eefng v\u00e0 \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch c\u1ee7a tam gi\u00e1c vu\u00f4ng c\u00f2n t\u0103ng c\u01b0\u1eddng kh\u1ea3 n\u0103ng t\u01b0 duy ph\u00e2n t\u00edch. Ng\u01b0\u1eddi \u00e1p d\u1ee5ng c\u0169ng \u0111\u01b0\u1ee3c n\u00e2ng cao k\u1ef9 n\u0103ng gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 v\u00e0 s\u1ef1 s\u00e1ng t\u1ea1o trong vi\u1ec7c \u0111\u1ec1 xu\u1ea5t gi\u1ea3i ph\u00e1p cho nh\u1eefng b\u00e0i to\u00e1n ph\u1ee9c t\u1ea1p. \u0110\u00e2y \u0111\u1ec1u l\u00e0 nh\u1eefng k\u1ef9 n\u0103ng quan tr\u1ecdng cho s\u1ef1 ph\u00e1t tri\u1ec3n to\u00e0n di\u1ec7n c\u1ee7a con ng\u01b0\u1eddi.<\/p>\n<p>Hy v\u1ecdng nh\u1eefng th\u00f4ng tin tr\u00ean s\u1ebd gi\u00fap b\u1ea1n hi\u1ec3u r\u00f5 h\u01a1n v\u1ec1 h\u00ecnh h\u1ecdc \u0111\u1eb7c bi\u1ec7t n\u00e0y nh\u00e9. Ngo\u00e0i ra, \u0111\u1ec3 tham kh\u1ea3o th\u00eam c\u00e1c b\u00e0i vi\u1ebft th\u00fa v\u1ecb kh\u00e1c c\u1ee7a Ho\u00e0ng H\u00e0 Mobile, h\u00e3y truy c\u1eadp c\u00e1c b\u00e0i d\u01b0\u1edbi \u0111\u00e2y.<\/p>\n<p>XEM TH\u00caM:<\/p>\n<ul>\n<li><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/\"><strong>S\u1ed1 th\u1ef1c l\u00e0 g\u00ec? M\u1ed9t s\u1ed1 d\u1ea1ng to\u00e1n h\u1ecdc ph\u1ed5 bi\u1ebfn v\u1ec1 s\u1ed1 th\u1ef1c<\/strong><\/a><\/li>\n<li><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/trong-tam-la-gi\/\"><strong>T\u00ednh ch\u1ea5t c\u1ee7a tr\u1ecdng t\u00e2m v\u00e0 c\u00e1ch x\u00e1c \u0111\u1ecbnh tr\u1ecdng t\u00e2m tam gi\u00e1c trong H\u00ecnh h\u1ecdc<\/strong><\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>C\u00e1ch t\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c vu\u00f4ng v\u00e0 \u0111\u01b0\u1eddng cao l\u00e0 c\u00f4ng c\u1ee5 to\u00e1n h\u1ecdc quan tr\u1ecdng. N\u00f3 gi\u00fap ch\u00fang ta x\u00e1c \u0111\u1ecbnh \u0111\u01b0\u1eddng cao v\u00e0 di\u1ec7n t\u00edch c\u1ee7a tam gi\u00e1c vu\u00f4ng ch\u00ednh x\u00e1c v\u00e0 hi\u1ec7u qu\u1ea3. Ngo\u00e0i ra, n\u00f3 c\u00f2n gi\u00fap ch\u00fang ta t\u00ednh to\u00e1n c\u00e1c \u0111\u1ea1i l\u01b0\u1ee3ng li\u00ean quan nh\u01b0 chu vi, \u0111\u01b0\u1eddng [&hellip;]<\/p>\n","protected":false},"author":48,"featured_media":299562,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3910,30453],"tags":[],"class_list":["post-299516","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-kham-pha","category-kien-thuc"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v24.2 (Yoast SEO v24.2) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>C\u00f4ng th\u1ee9c c\u00e1ch t\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c vu\u00f4ng v\u00e0 \u0111\u01b0\u1eddng cao<\/title>\n<meta name=\"description\" content=\"C\u00e1ch t\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c vu\u00f4ng l\u00e0 c\u00f4ng c\u1ee5 to\u00e1n h\u1ecdc quan tr\u1ecdng. 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